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Finding the Fourth Proportional to 226.50, 339.84 and 98.34

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Solution

The fourth proportional to 226.50, 339.84 and 98.34 is: 147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.50 : 339.84 = 98.34 : x
  2. Step 2: Convert to fraction form
    226.50/339.84 = 98.34/x
  3. Step 3: Cross multiply
    226.50x = 339.84 × 98.34
  4. Step 4: Simplify right side
    226.50x = 33,419.87
  5. Step 5: Solve for x
    x = 33,419.87/226.50
  6. Step 6: Final answer
    x = 147.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.